My Prime Number, A challenge! Can you get next kind of this Prime?

What is the biggest Prime Number you can get by arranging consecutive prime numbers side by side? Few examples:

P1=2P2=23P3=2357P4=2357111317192329313741434753596167717379838997101103107109113127131137139149151157163167173179181191193197199211223227229233239241251257263269271277281283293307311313317331337347349353359367373379383389397401409419421431433439443449457461463467479487491499503509521523541547557563569571577587593599601607613617619631641643647653659661673677683691701709719 (355 Digits) Hope I didn't miss any prime number in this sequence!

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

How do you know there aren't any in between? Have you checked them all?

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

What did you use for checking?

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Ok, I will see what I can do. How are you doing with finding P6?

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Ok, see you then.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

Maybe, if you gave me enough time.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

It's not fair!

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: My Prime Number, A challenge! Can you get next kind of this Prime?

It is not fair because the next one is so large. I wanted to find one myself. Now I can't.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.